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Finding the Fourth Proportional to 435,569.12, 653,215.38 and 140,012

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Solution

The fourth proportional to 435,569.12, 653,215.38 and 140,012 is: 209,973.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,569.12 : 653,215.38 = 140,012 : x
  2. Step 2: Convert to fraction form
    435,569.12/653,215.38 = 140,012/x
  3. Step 3: Cross multiply
    435,569.12x = 653,215.38 × 140,012
  4. Step 4: Simplify right side
    435,569.12x = 91,457,991,784.56
  5. Step 5: Solve for x
    x = 91,457,991,784.56/435,569.12
  6. Step 6: Final answer
    x = 209,973.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.